Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 152.4 | ||
Character | \(\chi\) | \(=\) | 405.152 |
Dual form | 405.2.r.a.8.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23715 | − | 0.866263i | −0.874798 | − | 0.612540i | 0.0475633 | − | 0.998868i | \(-0.484854\pi\) |
−0.922361 | + | 0.386328i | \(0.873743\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0960923 | + | 0.264011i | 0.0480461 | + | 0.132006i | ||||
\(5\) | 2.23168 | + | 0.140023i | 0.998037 | + | 0.0626204i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.677826 | + | 1.45360i | 0.256194 | + | 0.549410i | 0.991770 | − | 0.128032i | \(-0.0408661\pi\) |
−0.735576 | + | 0.677442i | \(0.763088\pi\) | |||||||
\(8\) | −0.671958 | + | 2.50778i | −0.237573 | + | 0.886634i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.63963 | − | 2.10645i | −0.834724 | − | 0.666118i | ||||
\(11\) | 1.78545 | + | 2.12782i | 0.538334 | + | 0.641561i | 0.964813 | − | 0.262936i | \(-0.0846908\pi\) |
−0.426479 | + | 0.904497i | \(0.640246\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.176418 | + | 0.251952i | 0.0489296 | + | 0.0698788i | 0.842871 | − | 0.538115i | \(-0.180863\pi\) |
−0.793942 | + | 0.607994i | \(0.791975\pi\) | |||||||
\(14\) | 0.420628 | − | 2.38550i | 0.112418 | − | 0.637552i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.43416 | − | 2.88160i | 0.858539 | − | 0.720400i | ||||
\(17\) | 1.88139 | + | 7.02145i | 0.456304 | + | 1.70295i | 0.684225 | + | 0.729271i | \(0.260141\pi\) |
−0.227921 | + | 0.973680i | \(0.573193\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.07203 | + | 2.92834i | −1.16360 | + | 0.671807i | −0.952165 | − | 0.305584i | \(-0.901148\pi\) |
−0.211439 | + | 0.977391i | \(0.567815\pi\) | |||||||
\(20\) | 0.177479 | + | 0.602644i | 0.0396856 | + | 0.134755i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.365624 | − | 4.17910i | −0.0779514 | − | 0.890988i | ||||
\(23\) | −0.116642 | − | 0.0543910i | −0.0243215 | − | 0.0113413i | 0.410419 | − | 0.911897i | \(-0.365382\pi\) |
−0.434741 | + | 0.900556i | \(0.643160\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.96079 | + | 0.624975i | 0.992157 | + | 0.124995i | ||||
\(26\) | − | 0.464527i | − | 0.0911012i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.318634 | + | 0.318634i | −0.0602161 | + | 0.0602161i | ||||
\(29\) | −1.51659 | − | 8.60103i | −0.281625 | − | 1.59717i | −0.717099 | − | 0.696971i | \(-0.754531\pi\) |
0.435475 | − | 0.900201i | \(-0.356581\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.22026 | − | 1.53605i | 0.757981 | − | 0.275883i | 0.0660211 | − | 0.997818i | \(-0.478970\pi\) |
0.691960 | + | 0.721936i | \(0.256747\pi\) | |||||||
\(32\) | −1.57207 | + | 0.137538i | −0.277905 | + | 0.0243135i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.75485 | − | 10.3164i | 0.643952 | − | 1.76924i | ||||
\(35\) | 1.30915 | + | 3.33889i | 0.221287 | + | 0.564375i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.08386 | − | 0.558369i | 0.342585 | − | 0.0917953i | −0.0834245 | − | 0.996514i | \(-0.526586\pi\) |
0.426009 | + | 0.904719i | \(0.359919\pi\) | |||||||
\(38\) | 8.81158 | + | 0.770913i | 1.42943 | + | 0.125059i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.85074 | + | 5.50247i | −0.292628 | + | 0.870017i | ||||
\(41\) | 4.62442 | + | 0.815410i | 0.722213 | + | 0.127346i | 0.522660 | − | 0.852541i | \(-0.324940\pi\) |
0.199553 | + | 0.979887i | \(0.436051\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.429127 | + | 4.90494i | −0.0654412 | + | 0.747997i | 0.890604 | + | 0.454779i | \(0.150282\pi\) |
−0.956046 | + | 0.293218i | \(0.905274\pi\) | |||||||
\(44\) | −0.390200 | + | 0.675847i | −0.0588249 | + | 0.101888i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0971868 | + | 0.168333i | 0.0143294 | + | 0.0248193i | ||||
\(47\) | 7.69135 | − | 3.58654i | 1.12190 | − | 0.523150i | 0.229009 | − | 0.973424i | \(-0.426452\pi\) |
0.892890 | + | 0.450274i | \(0.148674\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.84600 | − | 3.39173i | 0.406571 | − | 0.484533i | ||||
\(50\) | −5.59585 | − | 5.07053i | −0.791373 | − | 0.717082i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.0495656 | + | 0.0707870i | −0.00687352 | + | 0.00981640i | ||||
\(53\) | −0.483003 | − | 0.483003i | −0.0663456 | − | 0.0663456i | 0.673155 | − | 0.739501i | \(-0.264938\pi\) |
−0.739501 | + | 0.673155i | \(0.764938\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.68661 | + | 4.99861i | 0.497103 | + | 0.674013i | ||||
\(56\) | −4.10079 | + | 0.723079i | −0.547991 | + | 0.0966255i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.57450 | + | 11.9546i | −0.731968 | + | 1.56971i | ||||
\(59\) | −7.43127 | − | 6.23558i | −0.967469 | − | 0.811803i | 0.0146830 | − | 0.999892i | \(-0.495326\pi\) |
−0.982152 | + | 0.188089i | \(0.939771\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.50049 | + | 0.910105i | 0.320155 | + | 0.116527i | 0.497099 | − | 0.867694i | \(-0.334399\pi\) |
−0.176943 | + | 0.984221i | \(0.556621\pi\) | |||||||
\(62\) | −6.55173 | − | 1.75553i | −0.832070 | − | 0.222952i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.70071 | − | 3.29131i | −0.712589 | − | 0.411413i | ||||
\(65\) | 0.358430 | + | 0.586978i | 0.0444578 | + | 0.0728056i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.884390 | + | 0.619257i | −0.108045 | + | 0.0756543i | −0.626350 | − | 0.779542i | \(-0.715452\pi\) |
0.518305 | + | 0.855196i | \(0.326563\pi\) | |||||||
\(68\) | −1.67295 | + | 1.17142i | −0.202876 | + | 0.142055i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.27273 | − | 5.26478i | 0.152121 | − | 0.629261i | ||||
\(71\) | −9.03942 | − | 5.21891i | −1.07278 | − | 0.619371i | −0.143842 | − | 0.989601i | \(-0.545946\pi\) |
−0.928940 | + | 0.370230i | \(0.879279\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.65047 | − | 1.78199i | −0.778378 | − | 0.208566i | −0.152309 | − | 0.988333i | \(-0.548671\pi\) |
−0.626070 | + | 0.779767i | \(0.715337\pi\) | |||||||
\(74\) | −3.06175 | − | 1.11439i | −0.355921 | − | 0.129545i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.26050 | − | 1.05768i | −0.144589 | − | 0.121325i | ||||
\(77\) | −1.88278 | + | 4.03763i | −0.214562 | + | 0.460130i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.04188 | − | 0.360038i | 0.229729 | − | 0.0405074i | −0.0575985 | − | 0.998340i | \(-0.518344\pi\) |
0.287327 | + | 0.957832i | \(0.407233\pi\) | |||||||
\(80\) | 8.06743 | − | 5.94995i | 0.901966 | − | 0.665224i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.01475 | − | 5.01475i | −0.553787 | − | 0.553787i | ||||
\(83\) | −7.55956 | + | 10.7962i | −0.829770 | + | 1.18503i | 0.150742 | + | 0.988573i | \(0.451834\pi\) |
−0.980512 | + | 0.196461i | \(0.937055\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.21549 | + | 15.9331i | 0.348769 | + | 1.72818i | ||||
\(86\) | 4.77986 | − | 5.69642i | 0.515426 | − | 0.614261i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −6.53585 | + | 3.04772i | −0.696724 | + | 0.324888i | ||||
\(89\) | 5.58181 | + | 9.66798i | 0.591671 | + | 1.02480i | 0.994007 | + | 0.109312i | \(0.0348648\pi\) |
−0.402337 | + | 0.915492i | \(0.631802\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.246656 | + | 0.427222i | −0.0258566 | + | 0.0447850i | ||||
\(92\) | 0.00315146 | − | 0.0360214i | 0.000328562 | − | 0.00375549i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −12.6222 | − | 2.22564i | −1.30189 | − | 0.229558i | ||||
\(95\) | −11.7292 | + | 5.82491i | −1.20339 | + | 0.597623i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.8062 | − | 1.03291i | −1.19874 | − | 0.104876i | −0.529754 | − | 0.848151i | \(-0.677716\pi\) |
−0.668986 | + | 0.743275i | \(0.733271\pi\) | |||||||
\(98\) | −6.45906 | + | 1.73070i | −0.652464 | + | 0.174827i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.311693 | + | 1.36976i | 0.0311693 | + | 0.136976i | ||||
\(101\) | 4.61138 | − | 12.6697i | 0.458850 | − | 1.26068i | −0.467493 | − | 0.883997i | \(-0.654843\pi\) |
0.926343 | − | 0.376682i | \(-0.122935\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.96335 | − | 0.259260i | 0.291988 | − | 0.0255456i | 0.0597791 | − | 0.998212i | \(-0.480960\pi\) |
0.232209 | + | 0.972666i | \(0.425405\pi\) | |||||||
\(104\) | −0.750384 | + | 0.273118i | −0.0735813 | + | 0.0267814i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.179140 | + | 1.01596i | 0.0173997 | + | 0.0986783i | ||||
\(107\) | −7.80800 | + | 7.80800i | −0.754828 | + | 0.754828i | −0.975376 | − | 0.220548i | \(-0.929215\pi\) |
0.220548 | + | 0.975376i | \(0.429215\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 0.464359i | − | 0.0444775i | −0.999753 | − | 0.0222388i | \(-0.992921\pi\) | ||
0.999753 | − | 0.0222388i | \(-0.00707940\pi\) | |||||||
\(110\) | −0.230783 | − | 9.37762i | −0.0220043 | − | 0.894121i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.51646 | + | 3.03868i | 0.615748 | + | 0.287128i | ||||
\(113\) | −0.0417367 | − | 0.477053i | −0.00392626 | − | 0.0448774i | 0.993979 | − | 0.109572i | \(-0.0349481\pi\) |
−0.997905 | + | 0.0646950i | \(0.979393\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.252691 | − | 0.137716i | −0.0235636 | − | 0.0128421i | ||||
\(116\) | 2.12504 | − | 1.22689i | 0.197305 | − | 0.113914i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.79196 | + | 14.1518i | 0.349078 | + | 1.30278i | ||||
\(119\) | −8.93114 | + | 7.49411i | −0.818716 | + | 0.686984i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.570356 | − | 3.23465i | 0.0518506 | − | 0.294059i | ||||
\(122\) | −2.30510 | − | 3.29202i | −0.208694 | − | 0.298046i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.811069 | + | 0.966595i | 0.0728362 | + | 0.0868028i | ||||
\(125\) | 10.9834 | + | 2.08937i | 0.982383 | + | 0.186879i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.48210 | − | 12.9954i | 0.308987 | − | 1.15315i | −0.620473 | − | 0.784228i | \(-0.713059\pi\) |
0.929459 | − | 0.368925i | \(-0.120274\pi\) | |||||||
\(128\) | 5.53535 | + | 11.8706i | 0.489260 | + | 1.04922i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0650447 | − | 1.03667i | 0.00570479 | − | 0.0909224i | ||||
\(131\) | 2.11500 | + | 5.81092i | 0.184788 | + | 0.507702i | 0.997149 | − | 0.0754528i | \(-0.0240402\pi\) |
−0.812361 | + | 0.583155i | \(0.801818\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.69460 | − | 5.38781i | −0.667206 | − | 0.467183i | ||||
\(134\) | 1.63056 | 0.140859 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −18.8725 | −1.61830 | ||||||||
\(137\) | 6.04873 | + | 4.23537i | 0.516778 | + | 0.361852i | 0.802683 | − | 0.596406i | \(-0.203405\pi\) |
−0.285905 | + | 0.958258i | \(0.592294\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.50715 | + | 9.63582i | 0.297473 | + | 0.817299i | 0.994921 | + | 0.100664i | \(0.0320966\pi\) |
−0.697448 | + | 0.716635i | \(0.745681\pi\) | |||||||
\(140\) | −0.755705 | + | 0.666472i | −0.0638687 | + | 0.0563272i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.66218 | + | 14.2871i | 0.559078 | + | 1.19895i | ||||
\(143\) | −0.221121 | + | 0.825233i | −0.0184910 | + | 0.0690095i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.18021 | − | 19.4071i | −0.181056 | − | 1.61167i | ||||
\(146\) | 6.68396 | + | 7.96564i | 0.553169 | + | 0.659241i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.347659 | + | 0.496508i | 0.0285774 | + | 0.0408127i | ||||
\(149\) | 0.210055 | − | 1.19128i | 0.0172084 | − | 0.0975937i | −0.974994 | − | 0.222232i | \(-0.928666\pi\) |
0.992202 | + | 0.124638i | \(0.0397770\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.3858 | + | 10.3930i | −1.00795 | + | 0.845766i | −0.988065 | − | 0.154036i | \(-0.950773\pi\) |
−0.0198800 | + | 0.999802i | \(0.506328\pi\) | |||||||
\(152\) | −3.93544 | − | 14.6873i | −0.319206 | − | 1.19129i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.82693 | − | 3.36418i | 0.469547 | − | 0.271093i | ||||
\(155\) | 9.63335 | − | 2.83703i | 0.773770 | − | 0.227876i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.80822 | − | 20.6680i | −0.144311 | − | 1.64949i | −0.630907 | − | 0.775858i | \(-0.717317\pi\) |
0.486596 | − | 0.873627i | \(-0.338238\pi\) | |||||||
\(158\) | −2.83800 | − | 1.32338i | −0.225779 | − | 0.105282i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.52761 | + | 0.0868145i | −0.278882 | + | 0.00686329i | ||||
\(161\) | − | 0.206419i | − | 0.0162681i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.24417 | − | 9.24417i | 0.724060 | − | 0.724060i | −0.245370 | − | 0.969430i | \(-0.578909\pi\) |
0.969430 | + | 0.245370i | \(0.0789094\pi\) | |||||||
\(164\) | 0.229094 | + | 1.29925i | 0.0178892 | + | 0.101455i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 18.7046 | − | 6.80794i | 1.45176 | − | 0.528398i | ||||
\(167\) | −16.0301 | + | 1.40245i | −1.24044 | + | 0.108525i | −0.688425 | − | 0.725307i | \(-0.741698\pi\) |
−0.552018 | + | 0.833832i | \(0.686142\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.41391 | − | 12.1271i | 0.339531 | − | 0.932854i | ||||
\(170\) | 9.82416 | − | 22.4971i | 0.753479 | − | 1.72545i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.33620 | + | 0.358033i | −0.101884 | + | 0.0272997i | ||||
\(173\) | 2.64260 | + | 0.231197i | 0.200913 | + | 0.0175776i | 0.187168 | − | 0.982328i | \(-0.440069\pi\) |
0.0137449 | + | 0.999906i | \(0.495625\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.45409 | + | 7.63464i | 0.185511 | + | 0.577124i | ||||
\(176\) | 12.2630 | + | 2.16231i | 0.924362 | + | 0.162990i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.46947 | − | 16.7961i | 0.110141 | − | 1.25892i | ||||
\(179\) | 3.43088 | − | 5.94245i | 0.256436 | − | 0.444160i | −0.708849 | − | 0.705360i | \(-0.750785\pi\) |
0.965284 | + | 0.261201i | \(0.0841185\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.0120 | + | 17.3412i | 0.744183 | + | 1.28896i | 0.950575 | + | 0.310494i | \(0.100494\pi\) |
−0.206392 | + | 0.978469i | \(0.566172\pi\) | |||||||
\(182\) | 0.675238 | − | 0.314868i | 0.0500519 | − | 0.0233396i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.214779 | − | 0.255964i | 0.0158337 | − | 0.0188699i | ||||
\(185\) | 4.72870 | − | 0.954312i | 0.347661 | − | 0.0701624i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.5812 | + | 16.5397i | −0.846903 | + | 1.20950i | ||||
\(188\) | 1.68597 | + | 1.68597i | 0.122962 | + | 0.122962i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 19.5567 | + | 2.95426i | 1.41879 | + | 0.214325i | ||||
\(191\) | −9.22577 | + | 1.62675i | −0.667553 | + | 0.117708i | −0.497147 | − | 0.867666i | \(-0.665619\pi\) |
−0.170406 | + | 0.985374i | \(0.554508\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.90711 | − | 19.1014i | 0.641148 | − | 1.37495i | −0.269998 | − | 0.962861i | \(-0.587023\pi\) |
0.911146 | − | 0.412085i | \(-0.135199\pi\) | |||||||
\(194\) | 13.7113 | + | 11.5052i | 0.984414 | + | 0.826022i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.16893 | + | 0.425457i | 0.0834953 | + | 0.0303898i | ||||
\(197\) | −7.09801 | − | 1.90191i | −0.505712 | − | 0.135505i | −0.00306257 | − | 0.999995i | \(-0.500975\pi\) |
−0.502650 | + | 0.864490i | \(0.667642\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.3449 | + | 12.9008i | 1.58399 | + | 0.914516i | 0.994269 | + | 0.106906i | \(0.0340945\pi\) |
0.589718 | + | 0.807609i | \(0.299239\pi\) | |||||||
\(200\) | −4.90074 | + | 12.0206i | −0.346534 | + | 0.849985i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −16.6802 | + | 11.6796i | −1.17362 | + | 0.821776i | ||||
\(203\) | 11.4745 | − | 8.03453i | 0.805352 | − | 0.563914i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.2061 | + | 2.46726i | 0.712821 | + | 0.172321i | ||||
\(206\) | −3.89070 | − | 2.24630i | −0.271078 | − | 0.156507i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.33187 | + | 0.356874i | 0.0923487 | + | 0.0247448i | ||||
\(209\) | −15.2868 | − | 5.56395i | −1.05741 | − | 0.384867i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.268205 | − | 0.225051i | −0.0184640 | − | 0.0154932i | 0.633509 | − | 0.773735i | \(-0.281614\pi\) |
−0.651973 | + | 0.758242i | \(0.726058\pi\) | |||||||
\(212\) | 0.0811054 | − | 0.173931i | 0.00557035 | − | 0.0119456i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 16.4235 | − | 2.89590i | 1.12268 | − | 0.197960i | ||||
\(215\) | −1.64448 | + | 10.8862i | −0.112153 | + | 0.742431i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.09341 | + | 5.09341i | 0.345763 | + | 0.345763i | ||||
\(218\) | −0.402257 | + | 0.574483i | −0.0272443 | + | 0.0389089i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.965436 | + | 1.45364i | −0.0650897 | + | 0.0980041i | ||||
\(221\) | −1.43715 | + | 1.71273i | −0.0966733 | + | 0.115211i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.2401 | + | 6.64028i | −0.953590 | + | 0.444666i | −0.836203 | − | 0.548420i | \(-0.815230\pi\) |
−0.117387 | + | 0.993086i | \(0.537452\pi\) | |||||||
\(224\) | −1.26551 | − | 2.19193i | −0.0845557 | − | 0.146455i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.361618 | + | 0.626342i | −0.0240545 | + | 0.0416636i | ||||
\(227\) | 2.05222 | − | 23.4570i | 0.136211 | − | 1.55690i | −0.553522 | − | 0.832834i | \(-0.686717\pi\) |
0.689733 | − | 0.724064i | \(-0.257728\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.8004 | − | 4.02032i | −1.50669 | − | 0.265671i | −0.641505 | − | 0.767119i | \(-0.721690\pi\) |
−0.865188 | + | 0.501448i | \(0.832801\pi\) | |||||||
\(230\) | 0.193319 | + | 0.389273i | 0.0127471 | + | 0.0256679i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 22.5886 | + | 1.97625i | 1.48301 | + | 0.129747i | ||||
\(233\) | 20.8931 | − | 5.59828i | 1.36875 | − | 0.366755i | 0.501728 | − | 0.865026i | \(-0.332698\pi\) |
0.867022 | + | 0.498270i | \(0.166031\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 17.6668 | − | 6.92703i | 1.15246 | − | 0.451870i | ||||
\(236\) | 0.932175 | − | 2.56113i | 0.0606794 | − | 0.166715i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 17.5410 | − | 1.53464i | 1.13702 | − | 0.0994761i | ||||
\(239\) | 13.3597 | − | 4.86252i | 0.864165 | − | 0.314530i | 0.128363 | − | 0.991727i | \(-0.459028\pi\) |
0.735802 | + | 0.677197i | \(0.236805\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.44826 | − | 8.21348i | −0.0932905 | − | 0.529077i | −0.995258 | − | 0.0972724i | \(-0.968988\pi\) |
0.901967 | − | 0.431804i | \(-0.142123\pi\) | |||||||
\(242\) | −3.50767 | + | 3.50767i | −0.225482 | + | 0.225482i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.747612i | 0.0478610i | ||||||||
\(245\) | 6.82628 | − | 7.17075i | 0.436115 | − | 0.458122i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.63260 | − | 0.761293i | −0.103880 | − | 0.0484399i | ||||
\(248\) | 1.01624 | + | 11.6156i | 0.0645311 | + | 0.737594i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.7782 | − | 12.0994i | −0.744916 | − | 0.765231i | ||||
\(251\) | −4.13040 | + | 2.38469i | −0.260708 | + | 0.150520i | −0.624658 | − | 0.780899i | \(-0.714761\pi\) |
0.363949 | + | 0.931419i | \(0.381428\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0925243 | − | 0.345305i | −0.00581695 | − | 0.0217092i | ||||
\(254\) | −15.5653 | + | 13.0608i | −0.976654 | + | 0.819510i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.14887 | − | 6.51557i | 0.0718045 | − | 0.407223i | ||||
\(257\) | 2.70759 | + | 3.86684i | 0.168895 | + | 0.241207i | 0.894673 | − | 0.446722i | \(-0.147409\pi\) |
−0.725778 | + | 0.687929i | \(0.758520\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.22414 | + | 2.65063i | 0.138202 | + | 0.164702i | ||||
\(260\) | −0.120526 | + | 0.151034i | −0.00747473 | + | 0.00936671i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.41720 | − | 9.02113i | 0.149335 | − | 0.557327i | ||||
\(263\) | −1.40761 | − | 3.01862i | −0.0867967 | − | 0.186136i | 0.858118 | − | 0.513452i | \(-0.171634\pi\) |
−0.944915 | + | 0.327316i | \(0.893856\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.01028 | − | 1.14554i | −0.0620608 | − | 0.0703700i | ||||
\(266\) | 4.85212 | + | 13.3311i | 0.297502 | + | 0.817381i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.248474 | − | 0.173983i | −0.0151780 | − | 0.0106277i | ||||
\(269\) | 8.37429 | 0.510589 | 0.255295 | − | 0.966863i | \(-0.417828\pi\) | ||||
0.255295 | + | 0.966863i | \(0.417828\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.7893 | −0.837641 | −0.418821 | − | 0.908069i | \(-0.637556\pi\) | ||||
−0.418821 | + | 0.908069i | \(0.637556\pi\) | |||||||
\(272\) | 26.6940 | + | 18.6913i | 1.61856 | + | 1.13333i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.81425 | − | 10.4796i | −0.230428 | − | 0.633094i | ||||
\(275\) | 7.52741 | + | 11.6715i | 0.453920 | + | 0.703819i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.0519757 | + | 0.111462i | 0.00312292 | + | 0.00669711i | 0.907863 | − | 0.419267i | \(-0.137713\pi\) |
−0.904740 | + | 0.425964i | \(0.859935\pi\) | |||||||
\(278\) | 4.00827 | − | 14.9591i | 0.240400 | − | 0.897186i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −9.25289 | + | 1.03947i | −0.552966 | + | 0.0621205i | ||||
\(281\) | −15.4444 | − | 18.4059i | −0.921334 | − | 1.09800i | −0.994915 | − | 0.100714i | \(-0.967887\pi\) |
0.0735813 | − | 0.997289i | \(-0.476557\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.14396 | − | 13.0589i | −0.543552 | − | 0.776273i | 0.449584 | − | 0.893238i | \(-0.351572\pi\) |
−0.993136 | + | 0.116965i | \(0.962683\pi\) | |||||||
\(284\) | 0.509233 | − | 2.88801i | 0.0302174 | − | 0.171372i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.988429 | − | 0.829390i | 0.0584470 | − | 0.0490429i | ||||
\(287\) | 1.94927 | + | 7.27478i | 0.115062 | + | 0.429417i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −31.0386 | + | 17.9202i | −1.82580 | + | 1.05413i | ||||
\(290\) | −14.1144 | + | 25.8982i | −0.828827 | + | 1.52079i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.168594 | − | 1.92703i | −0.00986619 | − | 0.112771i | ||||
\(293\) | 4.77657 | + | 2.22735i | 0.279050 | + | 0.130123i | 0.557105 | − | 0.830442i | \(-0.311912\pi\) |
−0.278055 | + | 0.960565i | \(0.589690\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.7111 | − | 14.9564i | −0.914735 | − | 0.870793i | ||||
\(296\) | 5.60107i | 0.325555i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.29183 | + | 1.29183i | −0.0748340 | + | 0.0748340i | ||||
\(299\) | −0.00687388 | − | 0.0389837i | −0.000397526 | − | 0.00225448i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.42071 | + | 2.70092i | −0.427723 | + | 0.155678i | ||||
\(302\) | 24.3262 | − | 2.12827i | 1.39981 | − | 0.122468i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.97985 | + | 24.6719i | −0.515030 | + | 1.41503i | ||||
\(305\) | 5.45286 | + | 2.38119i | 0.312230 | + | 0.136347i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.3785 | + | 5.72834i | −1.22013 | + | 0.326934i | −0.810730 | − | 0.585420i | \(-0.800930\pi\) |
−0.409403 | + | 0.912353i | \(0.634263\pi\) | |||||||
\(308\) | −1.24690 | − | 0.109090i | −0.0710487 | − | 0.00621596i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −14.3755 | − | 4.83517i | −0.816476 | − | 0.274619i | ||||
\(311\) | −14.1711 | − | 2.49874i | −0.803567 | − | 0.141691i | −0.243244 | − | 0.969965i | \(-0.578212\pi\) |
−0.560322 | + | 0.828275i | \(0.689323\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.85245 | + | 21.1736i | −0.104707 | + | 1.19680i | 0.744088 | + | 0.668081i | \(0.232884\pi\) |
−0.848795 | + | 0.528722i | \(0.822671\pi\) | |||||||
\(314\) | −15.6669 | + | 27.1358i | −0.884133 | + | 1.53136i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.291263 | + | 0.504482i | 0.0163848 | + | 0.0283793i | ||||
\(317\) | −20.8348 | + | 9.71542i | −1.17020 | + | 0.545672i | −0.907848 | − | 0.419300i | \(-0.862275\pi\) |
−0.262350 | + | 0.964973i | \(0.584498\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.5936 | − | 18.5838i | 0.873076 | − | 1.04049i | ||||
\(320\) | −12.2613 | − | 8.14338i | −0.685428 | − | 0.455229i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.178813 | + | 0.255371i | −0.00996485 | + | 0.0142313i | ||||
\(323\) | −30.1036 | − | 30.1036i | −1.67501 | − | 1.67501i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.717710 | + | 1.36013i | 0.0398114 | + | 0.0754467i | ||||
\(326\) | −19.4443 | + | 3.42856i | −1.07692 | + | 0.189890i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.15228 | + | 11.0491i | −0.284487 | + | 0.610085i | ||||
\(329\) | 10.4268 | + | 8.74912i | 0.574848 | + | 0.482355i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.1133 | + | 4.77285i | 0.720772 | + | 0.262340i | 0.676253 | − | 0.736669i | \(-0.263602\pi\) |
0.0445184 | + | 0.999009i | \(0.485825\pi\) | |||||||
\(332\) | −3.57673 | − | 0.958382i | −0.196298 | − | 0.0525980i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 21.0465 | + | 12.1512i | 1.15161 | + | 0.664884i | ||||
\(335\) | −2.06039 | + | 1.25815i | −0.112571 | + | 0.0687399i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.8702 | − | 8.31162i | 0.646612 | − | 0.452763i | −0.203705 | − | 0.979032i | \(-0.565299\pi\) |
0.850318 | + | 0.526269i | \(0.176410\pi\) | |||||||
\(338\) | −15.9659 | + | 11.1795i | −0.868432 | + | 0.608083i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.89752 | + | 2.37997i | −0.211373 | + | 0.129072i | ||||
\(341\) | 10.8035 | + | 6.23741i | 0.585043 | + | 0.337775i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.7039 | + | 4.74374i | 0.955920 | + | 0.256138i | ||||
\(344\) | −12.0122 | − | 4.37207i | −0.647652 | − | 0.235726i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.06901 | − | 2.57521i | −0.164991 | − | 0.138444i | ||||
\(347\) | 3.83685 | − | 8.22815i | 0.205973 | − | 0.441710i | −0.776000 | − | 0.630733i | \(-0.782754\pi\) |
0.981973 | + | 0.189023i | \(0.0605320\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.20842 | − | 1.44737i | 0.439387 | − | 0.0774757i | 0.0504212 | − | 0.998728i | \(-0.483944\pi\) |
0.388966 | + | 0.921252i | \(0.372833\pi\) | |||||||
\(350\) | 3.57753 | − | 11.5711i | 0.191227 | − | 0.618501i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.09950 | − | 3.09950i | −0.165204 | − | 0.165204i | ||||
\(353\) | 1.51501 | − | 2.16366i | 0.0806358 | − | 0.115160i | −0.776808 | − | 0.629738i | \(-0.783162\pi\) |
0.857444 | + | 0.514578i | \(0.172051\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −19.4423 | − | 12.9127i | −1.03189 | − | 0.685333i | ||||
\(356\) | −2.01609 | + | 2.40268i | −0.106852 | + | 0.127342i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.39224 | + | 4.37967i | −0.496395 | + | 0.231473i | ||||
\(359\) | 7.06131 | + | 12.2306i | 0.372682 | + | 0.645504i | 0.989977 | − | 0.141228i | \(-0.0451049\pi\) |
−0.617295 | + | 0.786732i | \(0.711772\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.65033 | − | 13.2508i | 0.402649 | − | 0.697408i | ||||
\(362\) | 2.63575 | − | 30.1267i | 0.138532 | − | 1.58342i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.136493 | − | 0.0240674i | −0.00715418 | − | 0.00126148i | ||||
\(365\) | −14.5922 | − | 4.90804i | −0.763790 | − | 0.256899i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.7173 | − | 1.20011i | −0.716037 | − | 0.0626451i | −0.276686 | − | 0.960961i | \(-0.589236\pi\) |
−0.439351 | + | 0.898315i | \(0.644792\pi\) | |||||||
\(368\) | −0.557300 | + | 0.149328i | −0.0290513 | + | 0.00778426i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −6.67680 | − | 2.91567i | −0.347110 | − | 0.151578i | ||||
\(371\) | 0.374703 | − | 1.02949i | 0.0194536 | − | 0.0534483i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −20.2366 | + | 1.77048i | −1.04781 | + | 0.0916718i | −0.598036 | − | 0.801469i | \(-0.704052\pi\) |
−0.449777 | + | 0.893141i | \(0.648497\pi\) | |||||||
\(374\) | 28.6555 | − | 10.4297i | 1.48174 | − | 0.539309i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.82598 | + | 21.6982i | 0.197310 | + | 1.11900i | ||||
\(377\) | 1.89949 | − | 1.89949i | 0.0978286 | − | 0.0978286i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.8542i | 1.07121i | 0.844469 | + | 0.535605i | \(0.179916\pi\) | ||||
−0.844469 | + | 0.535605i | \(0.820084\pi\) | |||||||
\(380\) | −2.66493 | − | 2.53691i | −0.136708 | − | 0.130141i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.8229 | + | 5.97940i | 0.656075 | + | 0.305933i | ||||
\(383\) | −1.27835 | − | 14.6116i | −0.0653206 | − | 0.746618i | −0.956264 | − | 0.292504i | \(-0.905512\pi\) |
0.890944 | − | 0.454114i | \(-0.150044\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.76712 | + | 8.74706i | −0.242955 | + | 0.445791i | ||||
\(386\) | −27.5662 | + | 15.9154i | −1.40308 | + | 0.810071i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.861786 | − | 3.21623i | −0.0437506 | − | 0.163279i | ||||
\(389\) | 4.79561 | − | 4.02400i | 0.243147 | − | 0.204025i | −0.513067 | − | 0.858348i | \(-0.671491\pi\) |
0.756215 | + | 0.654323i | \(0.227047\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.162455 | − | 0.921326i | 0.00821568 | − | 0.0465934i | ||||
\(392\) | 6.59332 | + | 9.41624i | 0.333013 | + | 0.475592i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.13377 | + | 8.50169i | 0.359394 | + | 0.428309i | ||||
\(395\) | 4.60723 | − | 0.517578i | 0.231815 | − | 0.0260422i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.120732 | − | 0.450577i | 0.00605935 | − | 0.0226138i | −0.962830 | − | 0.270108i | \(-0.912941\pi\) |
0.968889 | + | 0.247494i | \(0.0796072\pi\) | |||||||
\(398\) | −16.4685 | − | 35.3168i | −0.825492 | − | 1.77027i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 18.8371 | − | 12.1487i | 0.941853 | − | 0.607437i | ||||
\(401\) | −3.19304 | − | 8.77280i | −0.159453 | − | 0.438093i | 0.834079 | − | 0.551644i | \(-0.185999\pi\) |
−0.993532 | + | 0.113552i | \(0.963777\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.13154 | + | 0.792314i | 0.0563661 | + | 0.0394680i | ||||
\(404\) | 3.78805 | 0.188463 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −21.1557 | −1.04994 | ||||||||
\(407\) | 4.90874 | + | 3.43714i | 0.243317 | + | 0.170373i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.240362 | − | 0.660389i | −0.0118851 | − | 0.0326541i | 0.933608 | − | 0.358296i | \(-0.116642\pi\) |
−0.945493 | + | 0.325641i | \(0.894420\pi\) | |||||||
\(410\) | −10.4891 | − | 11.8935i | −0.518021 | − | 0.587378i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.353203 | + | 0.757446i | 0.0174010 | + | 0.0373167i | ||||
\(413\) | 4.02694 | − | 15.0288i | 0.198153 | − | 0.739517i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −18.3822 | + | 23.0351i | −0.902349 | + | 1.13075i | ||||
\(416\) | −0.311994 | − | 0.371820i | −0.0152968 | − | 0.0182300i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 14.0923 | + | 20.1259i | 0.689276 | + | 0.984389i | ||||
\(419\) | 3.72329 | − | 21.1158i | 0.181894 | − | 1.03157i | −0.747986 | − | 0.663714i | \(-0.768979\pi\) |
0.929881 | − | 0.367861i | \(-0.119910\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.6486 | − | 11.4526i | 0.665194 | − | 0.558164i | −0.246445 | − | 0.969157i | \(-0.579262\pi\) |
0.911638 | + | 0.410993i | \(0.134818\pi\) | |||||||
\(422\) | 0.136857 | + | 0.510759i | 0.00666211 | + | 0.0248633i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.53582 | − | 0.886708i | 0.0745862 | − | 0.0430623i | ||||
\(425\) | 4.94495 | + | 36.0077i | 0.239865 | + | 1.74663i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.371968 | + | 4.25162i | 0.0180008 | + | 0.205750i | ||||
\(428\) | −2.81169 | − | 1.31111i | −0.135908 | − | 0.0633750i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 11.4648 | − | 12.0433i | 0.552880 | − | 0.580779i | ||||
\(431\) | − | 13.6942i | − | 0.659624i | −0.944047 | − | 0.329812i | \(-0.893015\pi\) | ||
0.944047 | − | 0.329812i | \(-0.106985\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 22.8337 | − | 22.8337i | 1.09732 | − | 1.09732i | 0.102594 | − | 0.994723i | \(-0.467286\pi\) |
0.994723 | − | 0.102594i | \(-0.0327142\pi\) | |||||||
\(434\) | −1.88909 | − | 10.7136i | −0.0906791 | − | 0.514267i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.122596 | − | 0.0446213i | 0.00587129 | − | 0.00213697i | ||||
\(437\) | 0.750887 | − | 0.0656941i | 0.0359198 | − | 0.00314257i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.85214 | − | 10.5837i | 0.183852 | − | 0.505130i | −0.813189 | − | 0.582000i | \(-0.802270\pi\) |
0.997041 | + | 0.0768697i | \(0.0244925\pi\) | |||||||
\(440\) | −15.0127 | + | 5.88635i | −0.715701 | + | 0.280621i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.26165 | − | 0.873956i | 0.155141 | − | 0.0415699i | ||||
\(443\) | −6.73147 | − | 0.588927i | −0.319822 | − | 0.0279808i | −0.0738853 | − | 0.997267i | \(-0.523540\pi\) |
−0.245936 | + | 0.969286i | \(0.579095\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.1031 | + | 22.3574i | 0.526336 | + | 1.05984i | ||||
\(446\) | 23.3694 | + | 4.12066i | 1.10657 | + | 0.195119i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.920162 | − | 10.5175i | 0.0434736 | − | 0.496905i | ||||
\(449\) | 5.70190 | − | 9.87598i | 0.269089 | − | 0.466076i | −0.699538 | − | 0.714596i | \(-0.746611\pi\) |
0.968627 | + | 0.248519i | \(0.0799440\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.52164 | + | 11.2958i | 0.307092 | + | 0.531899i | ||||
\(452\) | 0.121937 | − | 0.0568601i | 0.00573542 | − | 0.00267447i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −22.8589 | + | 27.2421i | −1.07282 | + | 1.27854i | ||||
\(455\) | −0.610279 | + | 0.918884i | −0.0286103 | + | 0.0430779i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.25450 | + | 6.07605i | −0.199017 | + | 0.284226i | −0.906239 | − | 0.422766i | \(-0.861059\pi\) |
0.707222 | + | 0.706992i | \(0.249948\pi\) | |||||||
\(458\) | 24.7249 | + | 24.7249i | 1.15532 | + | 1.15532i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.0120769 | − | 0.0799468i | 0.000563088 | − | 0.00372754i | ||||
\(461\) | 41.0458 | − | 7.23749i | 1.91170 | − | 0.337083i | 0.914046 | − | 0.405611i | \(-0.132941\pi\) |
0.997649 | + | 0.0685275i | \(0.0218301\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.40671 | − | 3.01669i | 0.0653752 | − | 0.140198i | −0.870905 | − | 0.491451i | \(-0.836467\pi\) |
0.936280 | + | 0.351253i | \(0.114244\pi\) | |||||||
\(464\) | −29.9930 | − | 25.1671i | −1.39239 | − | 1.16835i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −30.6975 | − | 11.1730i | −1.42203 | − | 0.517577i | ||||
\(467\) | 4.32129 | + | 1.15789i | 0.199966 | + | 0.0535806i | 0.357412 | − | 0.933947i | \(-0.383659\pi\) |
−0.157446 | + | 0.987528i | \(0.550326\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.49962 | − | 0.865804i | −0.0692458 | − | 0.0399791i | ||||
\(470\) | −27.8572 | − | 6.73433i | −1.28496 | − | 0.310632i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 20.6309 | − | 14.4459i | 0.949616 | − | 0.664929i | ||||
\(473\) | −11.2030 | + | 7.84443i | −0.515115 | + | 0.360687i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −26.9914 | + | 11.3570i | −1.23845 | + | 0.521093i | ||||
\(476\) | −2.83674 | − | 1.63780i | −0.130022 | − | 0.0750682i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −20.7402 | − | 5.55731i | −0.948632 | − | 0.254185i | ||||
\(479\) | 34.5314 | + | 12.5684i | 1.57778 | + | 0.574264i | 0.974719 | − | 0.223432i | \(-0.0717262\pi\) |
0.603059 | + | 0.797697i | \(0.293948\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.508314 | + | 0.426526i | 0.0231771 | + | 0.0194479i | ||||
\(482\) | −5.32332 | + | 11.4159i | −0.242470 | + | 0.519980i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.908792 | − | 0.160244i | 0.0413087 | − | 0.00728384i | ||||
\(485\) | −26.2031 | − | 3.95827i | −1.18982 | − | 0.179736i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.05628 | + | 9.05628i | 0.410379 | + | 0.410379i | 0.881871 | − | 0.471492i | \(-0.156284\pi\) |
−0.471492 | + | 0.881871i | \(0.656284\pi\) | |||||||
\(488\) | −3.96257 | + | 5.65913i | −0.179377 | + | 0.256177i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.6569 | + | 2.95795i | −0.662131 | + | 0.133627i | ||||
\(491\) | −14.7648 | + | 17.5960i | −0.666326 | + | 0.794096i | −0.988279 | − | 0.152660i | \(-0.951216\pi\) |
0.321953 | + | 0.946756i | \(0.395661\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 57.5384 | − | 26.8306i | 2.59140 | − | 1.20839i | ||||
\(494\) | 1.36029 | + | 2.35609i | 0.0612024 | + | 0.106006i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10.0668 | − | 17.4361i | 0.452011 | − | 0.782906i | ||||
\(497\) | 1.45907 | − | 16.6772i | 0.0654482 | − | 0.748076i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.11992 | − | 1.60809i | −0.408264 | − | 0.0719879i | −0.0342550 | − | 0.999413i | \(-0.510906\pi\) |
−0.374009 | + | 0.927425i | \(0.622017\pi\) | |||||||
\(500\) | 0.503800 | + | 3.10051i | 0.0225306 | + | 0.138659i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.17569 | + | 0.627792i | 0.320267 | + | 0.0280197i | ||||
\(503\) | −8.31780 | + | 2.22875i | −0.370873 | + | 0.0993750i | −0.439441 | − | 0.898271i | \(-0.644823\pi\) |
0.0685686 | + | 0.997646i | \(0.478157\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.0652 | − | 27.6289i | 0.536893 | − | 1.22947i | ||||
\(506\) | −0.184659 | + | 0.507345i | −0.00820908 | + | 0.0225543i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.76553 | − | 0.329441i | 0.167068 | − | 0.0146166i | ||||
\(509\) | −20.6614 | + | 7.52013i | −0.915799 | + | 0.333324i | −0.756566 | − | 0.653917i | \(-0.773124\pi\) |
−0.159233 | + | 0.987241i | \(0.550902\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.91756 | − | 10.8750i | −0.0848278 | − | 0.481082i | ||||
\(512\) | 11.4575 | − | 11.4575i | 0.506354 | − | 0.506354i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 7.12936i | − | 0.314463i | ||||||
\(515\) | 6.64955 | − | 0.163646i | 0.293014 | − | 0.00721109i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 21.3640 | + | 9.96221i | 0.939589 | + | 0.438138i | ||||
\(518\) | −0.455459 | − | 5.20593i | −0.0200117 | − | 0.228735i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.71286 | + | 0.504440i | −0.0751139 | + | 0.0221211i | ||||
\(521\) | 4.43677 | − | 2.56157i | 0.194378 | − | 0.112224i | −0.399652 | − | 0.916667i | \(-0.630869\pi\) |
0.594031 | + | 0.804442i | \(0.297536\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.02890 | + | 7.57196i | 0.0887177 | + | 0.331099i | 0.995992 | − | 0.0894400i | \(-0.0285077\pi\) |
−0.907275 | + | 0.420539i | \(0.861841\pi\) | |||||||
\(524\) | −1.33091 | + | 1.11677i | −0.0581412 | + | 0.0487863i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.873497 | + | 4.95385i | −0.0380863 | + | 0.215998i | ||||
\(527\) | 18.7252 | + | 26.7424i | 0.815685 | + | 1.16492i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.7735 | − | 17.6063i | −0.642325 | − | 0.765493i | ||||
\(530\) | 0.257526 | + | 2.29237i | 0.0111862 | + | 0.0995742i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.683053 | − | 2.54919i | 0.0296141 | − | 0.110521i | ||||
\(533\) | 0.610389 | + | 1.30898i | 0.0264389 | + | 0.0566984i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −18.5183 | + | 16.3317i | −0.800614 | + | 0.706079i | ||||
\(536\) | −0.958687 | − | 2.63397i | −0.0414090 | − | 0.113770i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.3603 | − | 7.25433i | −0.446663 | − | 0.312757i | ||||
\(539\) | 12.2984 | 0.529729 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.2903 | −0.528401 | −0.264200 | − | 0.964468i | \(-0.585108\pi\) | ||||
−0.264200 | + | 0.964468i | \(0.585108\pi\) | |||||||
\(542\) | 17.0595 | + | 11.9452i | 0.732767 | + | 0.513089i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.92339 | − | 10.7794i | −0.168214 | − | 0.462164i | ||||
\(545\) | 0.0650212 | − | 1.03630i | 0.00278520 | − | 0.0443903i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.220177 | − | 0.472172i | −0.00941410 | − | 0.0201886i | 0.901545 | − | 0.432686i | \(-0.142434\pi\) |
−0.910959 | + | 0.412498i | \(0.864656\pi\) | |||||||
\(548\) | −0.536948 | + | 2.00392i | −0.0229373 | + | 0.0856032i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.798052 | − | 20.9602i | 0.0340290 | − | 0.893744i | ||||
\(551\) | 32.8789 | + | 39.1836i | 1.40069 | + | 1.66928i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.90739 | + | 2.72403i | 0.0811104 | + | 0.115838i | ||||
\(554\) | 0.0322538 | − | 0.182920i | 0.00137033 | − | 0.00777153i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.20695 | + | 1.85185i | −0.0935957 | + | 0.0785361i | ||||
\(557\) | −6.03527 | − | 22.5239i | −0.255723 | − | 0.954370i | −0.967687 | − | 0.252155i | \(-0.918861\pi\) |
0.711964 | − | 0.702216i | \(-0.247806\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.31151 | + | 0.757203i | −0.0554711 | + | 0.0320263i | ||||
\(560\) | 14.1172 | + | 7.69381i | 0.596559 | + | 0.325123i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.16269 | + | 36.1498i | 0.133410 | + | 1.52489i | ||||
\(563\) | −31.1449 | − | 14.5231i | −1.31260 | − | 0.612076i | −0.364844 | − | 0.931069i | \(-0.618878\pi\) |
−0.947757 | + | 0.318993i | \(0.896656\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.0263444 | − | 1.07047i | −0.00110832 | − | 0.0450351i | ||||
\(566\) | 24.0770i | 1.01203i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 19.1620 | − | 19.1620i | 0.804019 | − | 0.804019i | ||||
\(569\) | −0.227444 | − | 1.28990i | −0.00953495 | − | 0.0540754i | 0.979669 | − | 0.200620i | \(-0.0642958\pi\) |
−0.989204 | + | 0.146545i | \(0.953185\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.9969 | + | 6.55033i | −0.753146 | + | 0.274123i | −0.689929 | − | 0.723877i | \(-0.742358\pi\) |
−0.0632171 | + | 0.998000i | \(0.520136\pi\) | |||||||
\(572\) | −0.239119 | + | 0.0209202i | −0.00999807 | + | 0.000874718i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.89033 | − | 10.6886i | 0.162379 | − | 0.446133i | ||||
\(575\) | −0.544643 | − | 0.342721i | −0.0227132 | − | 0.0142924i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.6473 | + | 3.38883i | −0.526514 | + | 0.141079i | −0.512278 | − | 0.858820i | \(-0.671198\pi\) |
−0.0142358 | + | 0.999899i | \(0.504532\pi\) | |||||||
\(578\) | 53.9231 | + | 4.71766i | 2.24290 | + | 0.196229i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.91420 | − | 2.44047i | 0.204051 | − | 0.101335i | ||||
\(581\) | −20.8174 | − | 3.67067i | −0.863652 | − | 0.152285i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.165364 | − | 1.89012i | 0.00684869 | − | 0.0782808i | ||||
\(584\) | 8.93766 | − | 15.4805i | 0.369843 | − | 0.640587i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.97987 | − | 6.89333i | −0.164407 | − | 0.284761i | ||||
\(587\) | −26.3137 | + | 12.2703i | −1.08608 | + | 0.506449i | −0.881396 | − | 0.472379i | \(-0.843395\pi\) |
−0.204687 | + | 0.978827i | \(0.565618\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.9072 | + | 20.1492i | −0.696650 | + | 0.830235i | ||||
\(590\) | 6.48086 | + | 32.1132i | 0.266813 | + | 1.32208i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.54732 | − | 7.92239i | 0.227993 | − | 0.325608i | ||||
\(593\) | 18.8092 | + | 18.8092i | 0.772402 | + | 0.772402i | 0.978526 | − | 0.206124i | \(-0.0660851\pi\) |
−0.206124 | + | 0.978526i | \(0.566085\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −20.9808 | + | 15.4739i | −0.860128 | + | 0.634368i | ||||
\(596\) | 0.334697 | − | 0.0590161i | 0.0137097 | − | 0.00241739i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.0252661 | + | 0.0541833i | −0.00103321 | + | 0.00221572i | ||||
\(599\) | −3.51169 | − | 2.94665i | −0.143484 | − | 0.120397i | 0.568221 | − | 0.822876i | \(-0.307632\pi\) |
−0.711704 | + | 0.702479i | \(0.752076\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 25.1131 | + | 9.14041i | 1.02438 | + | 0.372845i | 0.798940 | − | 0.601411i | \(-0.205395\pi\) |
0.225443 | + | 0.974256i | \(0.427617\pi\) | |||||||
\(602\) | 11.5202 | + | 3.08684i | 0.469530 | + | 0.125810i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.93404 | − | 2.27132i | −0.160074 | − | 0.0924187i | ||||
\(605\) | 1.72578 | − | 7.13884i | 0.0701629 | − | 0.290235i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 29.2803 | − | 20.5023i | 1.18845 | − | 0.832163i | 0.199428 | − | 0.979913i | \(-0.436092\pi\) |
0.989025 | + | 0.147749i | \(0.0472028\pi\) | |||||||
\(608\) | 7.57081 | − | 5.30114i | 0.307037 | − | 0.214990i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.68328 | − | 7.66950i | −0.189620 | − | 0.310529i | ||||
\(611\) | 2.26053 | + | 1.30512i | 0.0914512 | + | 0.0527994i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −35.8682 | − | 9.61085i | −1.44870 | − | 0.388179i | −0.553130 | − | 0.833095i | \(-0.686567\pi\) |
−0.895572 | + | 0.444916i | \(0.853233\pi\) | |||||||
\(614\) | 31.4107 | + | 11.4325i | 1.26763 | + | 0.461380i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.86034 | − | 7.43471i | −0.356993 | − | 0.299553i | ||||
\(617\) | −19.6545 | + | 42.1491i | −0.791258 | + | 1.69686i | −0.0769428 | + | 0.997036i | \(0.524516\pi\) |
−0.714316 | + | 0.699824i | \(0.753262\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.9352 | + | 2.45716i | −0.560104 | + | 0.0987615i | −0.446531 | − | 0.894768i | \(-0.647341\pi\) |
−0.113573 | + | 0.993530i | \(0.536230\pi\) | |||||||
\(620\) | 1.67470 | + | 2.27070i | 0.0672576 | + | 0.0911934i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.3672 | + | 15.3672i | 0.616168 | + | 0.616168i | ||||
\(623\) | −10.2699 | + | 14.6669i | −0.411455 | + | 0.587619i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.2188 | + | 6.20074i | 0.968752 | + | 0.248029i | ||||
\(626\) | 20.6337 | − | 24.5903i | 0.824687 | − | 0.982824i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 5.28283 | − | 2.46342i | 0.210808 | − | 0.0983013i | ||||
\(629\) | 7.84112 | + | 13.5812i | 0.312646 | + | 0.541519i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 16.2979 | − | 28.2288i | 0.648810 | − | 1.12377i | −0.334597 | − | 0.942361i | \(-0.608600\pi\) |
0.983407 | − | 0.181411i | \(-0.0580664\pi\) | |||||||
\(632\) | −0.469158 | + | 5.36250i | −0.0186621 | + | 0.213309i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 34.1919 | + | 6.02895i | 1.35793 | + | 0.239440i | ||||
\(635\) | 9.59059 | − | 28.5139i | 0.380591 | − | 1.13154i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.35664 | + | 0.118690i | 0.0537520 | + | 0.00470269i | ||||
\(638\) | −35.3901 | + | 9.48275i | −1.40111 | + | 0.375426i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.6910 | + | 27.2664i | 0.422597 | + | 1.07780i | ||||
\(641\) | 11.8689 | − | 32.6096i | 0.468794 | − | 1.28800i | −0.449916 | − | 0.893071i | \(-0.648546\pi\) |
0.918711 | − | 0.394931i | \(-0.129232\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 8.82626 | − | 0.772198i | 0.348074 | − | 0.0304525i | 0.0882215 | − | 0.996101i | \(-0.471882\pi\) |
0.259852 | + | 0.965648i | \(0.416326\pi\) | |||||||
\(644\) | 0.0544969 | − | 0.0198352i | 0.00214748 | − | 0.000781618i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 11.1651 | + | 63.3204i | 0.439285 | + | 2.49131i | ||||
\(647\) | 14.1426 | − | 14.1426i | 0.556003 | − | 0.556003i | −0.372164 | − | 0.928167i | \(-0.621384\pi\) |
0.928167 | + | 0.372164i | \(0.121384\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 26.9457i | − | 1.05771i | ||||||
\(650\) | 0.290318 | − | 2.30442i | 0.0113872 | − | 0.0903867i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.32886 | + | 1.55227i | 0.130368 | + | 0.0607917i | ||||
\(653\) | 0.173231 | + | 1.98004i | 0.00677904 | + | 0.0774848i | 0.998831 | − | 0.0483474i | \(-0.0153955\pi\) |
−0.992052 | + | 0.125832i | \(0.959840\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.90634 | + | 13.2643i | 0.152633 | + | 0.518277i | ||||
\(656\) | 18.2307 | − | 10.5255i | 0.711788 | − | 0.410951i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.32049 | − | 19.8563i | −0.207414 | − | 0.774081i | ||||
\(659\) | 9.93910 | − | 8.33989i | 0.387172 | − | 0.324876i | −0.428338 | − | 0.903619i | \(-0.640901\pi\) |
0.815510 | + | 0.578742i | \(0.196456\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.91716 | − | 16.5440i | 0.113464 | − | 0.643489i | −0.874035 | − | 0.485864i | \(-0.838505\pi\) |
0.987499 | − | 0.157625i | \(-0.0503837\pi\) | |||||||
\(662\) | −12.0886 | − | 17.2643i | −0.469836 | − | 0.670996i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −21.9947 | − | 26.2123i | −0.853561 | − | 1.01723i | ||||
\(665\) | −16.4174 | − | 13.1013i | −0.636641 | − | 0.508047i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.290921 | + | 1.08573i | −0.0112645 | + | 0.0420396i | ||||
\(668\) | −1.91063 | − | 4.09735i | −0.0739244 | − | 0.158531i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.63890 | + | 0.228317i | 0.140583 | + | 0.00882066i | ||||
\(671\) | 2.52797 | + | 6.94554i | 0.0975912 | + | 0.268130i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.48390 | + | 5.24028i | 0.288483 | + | 0.201998i | 0.708856 | − | 0.705353i | \(-0.249212\pi\) |
−0.420373 | + | 0.907352i | \(0.638101\pi\) | |||||||
\(674\) | −21.8853 | −0.842991 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.62584 | 0.139455 | ||||||||
\(677\) | 0.0991212 | + | 0.0694054i | 0.00380954 | + | 0.00266747i | 0.575480 | − | 0.817816i | \(-0.304815\pi\) |
−0.571670 | + | 0.820484i | \(0.693704\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.50112 | − | 17.8617i | −0.249490 | − | 0.685468i | ||||
\(680\) | −42.1173 | − | 2.64259i | −1.61512 | − | 0.101339i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.96234 | − | 17.0753i | −0.304894 | − | 0.653847i | ||||
\(683\) | −3.58403 | + | 13.3758i | −0.137139 | + | 0.511810i | 0.862841 | + | 0.505476i | \(0.168683\pi\) |
−0.999980 | + | 0.00633429i | \(0.997984\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.9058 | + | 10.2989i | 0.493104 | + | 0.393502i | ||||
\(686\) | −17.7931 | − | 21.2049i | −0.679342 | − | 0.809608i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 12.6604 | + | 18.0809i | 0.482673 | + | 0.689329i | ||||
\(689\) | 0.0364828 | − | 0.206904i | 0.00138988 | − | 0.00788241i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.4891 | − | 14.6751i | 0.665315 | − | 0.558266i | −0.246359 | − | 0.969179i | \(-0.579234\pi\) |
0.911675 | + | 0.410913i | \(0.134790\pi\) | |||||||
\(692\) | 0.192894 | + | 0.719892i | 0.00733274 | + | 0.0273662i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.8745 | + | 6.85575i | −0.450750 | + | 0.260241i | ||||
\(695\) | 6.47759 | + | 21.9951i | 0.245709 | + | 0.834323i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.97498 | + | 34.0042i | 0.112686 | + | 1.28800i | ||||
\(698\) | −11.4089 | − | 5.32004i | −0.431832 | − | 0.201366i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.77981 | + | 1.38154i | −0.0672706 | + | 0.0522172i | ||||
\(701\) | 15.6693i | 0.591821i | 0.955216 | + | 0.295910i | \(0.0956230\pi\) | ||||
−0.955216 | + | 0.295910i | \(0.904377\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.93432 | + | 8.93432i | −0.336964 | + | 0.336964i | ||||
\(704\) | −3.17504 | − | 18.0065i | −0.119664 | − | 0.678647i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.74859 | + | 1.36438i | −0.141080 | + | 0.0513490i | ||||
\(707\) | 21.5424 | − | 1.88471i | 0.810184 | − | 0.0708820i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.91839 | + | 8.01821i | −0.109602 | + | 0.301130i | −0.982353 | − | 0.187036i | \(-0.940112\pi\) |
0.872751 | + | 0.488166i | \(0.162334\pi\) | |||||||
\(710\) | 12.8673 | + | 32.8171i | 0.482902 | + | 1.23160i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −27.9959 | + | 7.50148i | −1.04919 | + | 0.281130i | ||||
\(713\) | −0.575807 | − | 0.0503766i | −0.0215641 | − | 0.00188662i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.609022 | + | 1.81069i | −0.0227761 | + | 0.0677161i | ||||
\(716\) | 1.89856 | + | 0.334767i | 0.0709523 | + | 0.0125108i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.85896 | − | 21.2480i | 0.0693758 | − | 0.792968i | ||||
\(719\) | −19.9277 | + | 34.5157i | −0.743176 | + | 1.28722i | 0.207866 | + | 0.978157i | \(0.433348\pi\) |
−0.951042 | + | 0.309062i | \(0.899985\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.38550 | + | 4.13180i | 0.0888406 | + | 0.153876i | ||||
\(722\) | −20.9433 | + | 9.76600i | −0.779427 | + | 0.363453i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.61621 | + | 4.30963i | −0.134395 | + | 0.160166i | ||||
\(725\) | −2.14807 | − | 43.6157i | −0.0797773 | − | 1.61985i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 26.2725 | − | 37.5210i | 0.974393 | − | 1.39158i | 0.0548911 | − | 0.998492i | \(-0.482519\pi\) |
0.919502 | − | 0.393085i | \(-0.128592\pi\) | |||||||
\(728\) | −0.905635 | − | 0.905635i | −0.0335651 | − | 0.0335651i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 13.8011 | + | 18.7127i | 0.510801 | + | 0.692587i | ||||
\(731\) | −35.2471 | + | 6.21502i | −1.30366 | + | 0.229871i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.6365 | + | 33.5325i | −0.577546 | + | 1.23855i | 0.372961 | + | 0.927847i | \(0.378343\pi\) |
−0.950507 | + | 0.310704i | \(0.899435\pi\) | |||||||
\(734\) | 15.9308 | + | 13.3675i | 0.588015 | + | 0.493403i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.190850 | + | 0.0694636i | 0.00703481 | + | 0.00256046i | ||||
\(737\) | −2.89670 | − | 0.776169i | −0.106701 | − | 0.0285906i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.45965 | − | 5.46153i | −0.347979 | − | 0.200906i | 0.315816 | − | 0.948820i | \(-0.397722\pi\) |
−0.663795 | + | 0.747915i | \(0.731055\pi\) | |||||||
\(740\) | 0.706341 | + | 1.15673i | 0.0259656 | + | 0.0425222i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.35537 | + | 0.949040i | −0.0497572 | + | 0.0348404i | ||||
\(743\) | 6.78635 | − | 4.75185i | 0.248967 | − | 0.174329i | −0.442431 | − | 0.896802i | \(-0.645884\pi\) |
0.691398 | + | 0.722474i | \(0.256995\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.635584 | − | 2.62915i | 0.0232860 | − | 0.0963246i | ||||
\(746\) | 26.5695 | + | 15.3399i | 0.972778 | + | 0.561633i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.47954 | − | 1.46824i | −0.200352 | − | 0.0536841i | ||||
\(749\) | −16.6422 | − | 6.05726i | −0.608093 | − | 0.221328i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.01418 | + | 0.851000i | 0.0370080 | + | 0.0310534i | 0.661104 | − | 0.750294i | \(-0.270088\pi\) |
−0.624096 | + | 0.781348i | \(0.714533\pi\) | |||||||
\(752\) | 16.0783 | − | 34.4801i | 0.586317 | − | 1.25736i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.99541 | + | 0.704499i | −0.145504 | + | 0.0256563i | ||||
\(755\) | −29.0965 | + | 21.4594i | −1.05893 | + | 0.780989i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −26.5719 | − | 26.5719i | −0.965772 | − | 0.965772i | 0.0336615 | − | 0.999433i | \(-0.489283\pi\) |
−0.999433 | + | 0.0336615i | \(0.989283\pi\) | |||||||
\(758\) | 18.0652 | − | 25.7998i | 0.656159 | − | 0.937092i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −6.72608 | − | 33.3283i | −0.243980 | − | 1.20894i | ||||
\(761\) | −6.97127 | + | 8.30804i | −0.252708 | + | 0.301166i | −0.877453 | − | 0.479663i | \(-0.840759\pi\) |
0.624744 | + | 0.780829i | \(0.285203\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.674994 | − | 0.314755i | 0.0244364 | − | 0.0113949i | ||||
\(764\) | −1.31601 | − | 2.27939i | −0.0476114 | − | 0.0824654i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −11.0760 | + | 19.1841i | −0.400191 | + | 0.693151i | ||||
\(767\) | 0.260050 | − | 2.97239i | 0.00938988 | − | 0.107327i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 44.1842 | + | 7.79087i | 1.59332 | + | 0.280946i | 0.898745 | − | 0.438471i | \(-0.144480\pi\) |
0.694579 | + | 0.719417i | \(0.255591\pi\) | |||||||
\(770\) | 13.4749 | − | 6.69186i | 0.485602 | − | 0.241158i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.89888 | + | 0.516085i | 0.212305 | + | 0.0185743i | ||||
\(773\) | 30.3757 | − | 8.13915i | 1.09254 | − | 0.292745i | 0.332816 | − | 0.942992i | \(-0.392001\pi\) |
0.759723 | + | 0.650247i | \(0.225334\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 21.8958 | − | 4.98246i | 0.786521 | − | 0.178975i | ||||
\(776\) | 10.5236 | − | 28.9133i | 0.377775 | − | 1.03793i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −9.41874 | + | 0.824033i | −0.337678 | + | 0.0295430i | ||||
\(779\) | −25.8430 | + | 9.40608i | −0.925922 | + | 0.337008i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.03455 | − | 28.5524i | −0.180150 | − | 1.02168i | ||||
\(782\) | −0.999091 | + | 0.999091i | −0.0357274 | + | 0.0357274i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 19.8488i | − | 0.708885i | ||||||
\(785\) | −1.14135 | − | 46.3775i | −0.0407366 | − | 1.65529i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −28.5680 | − | 13.3215i | −1.01834 | − | 0.474860i | −0.159552 | − | 0.987190i | \(-0.551005\pi\) |
−0.858789 | + | 0.512330i | \(0.828783\pi\) | |||||||
\(788\) | −0.179939 | − | 2.05671i | −0.00641007 | − | 0.0732674i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6.14820 | − | 3.35075i | −0.218743 | − | 0.119214i | ||||
\(791\) | 0.665155 | − | 0.384027i | 0.0236502 | − | 0.0136544i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.211830 | + | 0.790562i | 0.00752232 | + | 0.0280737i | ||||
\(794\) | −0.539681 | + | 0.452846i | −0.0191526 | + | 0.0160709i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.25879 | + | 7.13898i | −0.0446168 | + | 0.253034i | ||||
\(797\) | 3.73721 | + | 5.33729i | 0.132379 | + | 0.189057i | 0.879869 | − | 0.475216i | \(-0.157630\pi\) |
−0.747490 | + | 0.664273i | \(0.768741\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 39.6531 | + | 47.2567i | 1.40283 | + | 1.67182i | ||||
\(800\) | −7.88464 | − | 0.300206i | −0.278764 | − | 0.0106139i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.64928 | + | 13.6193i | −0.128860 | + | 0.480914i | ||||
\(803\) | −8.08234 | − | 17.3326i | −0.285220 | − | 0.611655i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0289035 | − | 0.460660i | 0.00101871 | − | 0.0162361i | ||||
\(806\) | −0.713536 | − | 1.96042i | −0.0251332 | − | 0.0690530i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 28.6741 | + | 20.0778i | 1.00875 | + | 0.706335i | ||||
\(809\) | 21.5117 | 0.756312 | 0.378156 | − | 0.925742i | \(-0.376558\pi\) | ||||
0.378156 | + | 0.925742i | \(0.376558\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 15.2216 | 0.534502 | 0.267251 | − | 0.963627i | \(-0.413885\pi\) | ||||
0.267251 | + | 0.963627i | \(0.413885\pi\) | |||||||
\(812\) | 3.22382 | + | 2.25734i | 0.113134 | + | 0.0792172i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.09539 | − | 8.50453i | −0.108494 | − | 0.298083i | ||||
\(815\) | 21.9244 | − | 19.3356i | 0.767979 | − | 0.677298i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −12.1868 | − | 26.1346i | −0.426362 | − | 0.914335i | ||||
\(818\) | −0.274706 | + | 1.02522i | −0.00960488 | + | 0.0358459i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.329337 | + | 2.93160i | 0.0115010 | + | 0.102376i | ||||
\(821\) | 32.2494 | + | 38.4334i | 1.12551 | + | 1.34133i | 0.932932 | + | 0.360053i | \(0.117242\pi\) |
0.192581 | + | 0.981281i | \(0.438314\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.01204 | + | 2.87349i | 0.0701354 | + | 0.100164i | 0.852687 | − | 0.522422i | \(-0.174971\pi\) |
−0.782552 | + | 0.622585i | \(0.786082\pi\) | |||||||
\(824\) | −1.34108 | + | 7.60564i | −0.0467187 | + | 0.264955i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −18.0008 | + | 15.1045i | −0.626327 | + | 0.525551i | ||||
\(827\) | −0.686704 | − | 2.56281i | −0.0238790 | − | 0.0891178i | 0.952958 | − | 0.303102i | \(-0.0980224\pi\) |
−0.976837 | + | 0.213985i | \(0.931356\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.2911 | − | 7.67359i | 0.461617 | − | 0.266515i | −0.251107 | − | 0.967959i | \(-0.580794\pi\) |
0.712724 | + | 0.701444i | \(0.247461\pi\) | |||||||
\(830\) | 42.6960 | − | 12.5740i | 1.48200 | − | 0.436451i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.176460 | − | 2.01695i | −0.00611766 | − | 0.0699251i | ||||
\(833\) | 29.1693 | + | 13.6019i | 1.01066 | + | 0.471277i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −35.9703 | + | 0.885231i | −1.24480 | + | 0.0306347i | ||||
\(836\) | − | 4.57055i | − | 0.158076i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −22.8981 | + | 22.8981i | −0.791002 | + | 0.791002i | ||||
\(839\) | 2.05282 | + | 11.6421i | 0.0708712 | + | 0.401931i | 0.999520 | + | 0.0309713i | \(0.00986003\pi\) |
−0.928649 | + | 0.370960i | \(0.879029\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −44.4266 | + | 16.1700i | −1.53195 | + | 0.557585i | ||||
\(842\) | −26.8064 | + | 2.34525i | −0.923808 | + | 0.0808227i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.0336436 | − | 0.0924350i | 0.00115806 | − | 0.00318174i | ||||
\(845\) | 11.5485 | − | 26.4458i | 0.397281 | − | 0.909762i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.08850 | − | 1.36346i | 0.174843 | − | 0.0468490i | ||||
\(848\) | −3.05053 | − | 0.266887i | −0.104756 | − | 0.00916493i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 25.0745 | − | 48.8306i | 0.860048 | − | 1.67488i | ||||
\(851\) | −0.273436 | − | 0.0482142i | −0.00937327 | − | 0.00165276i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.93357 | + | 33.5308i | −0.100443 | + | 1.14807i | 0.763956 | + | 0.645268i | \(0.223254\pi\) |
−0.864400 | + | 0.502805i | \(0.832301\pi\) | |||||||
\(854\) | 3.22284 | − | 5.58211i | 0.110283 | − | 0.191016i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.3341 | − | 24.8274i | −0.489929 | − | 0.848583i | ||||
\(857\) | −33.6303 | + | 15.6821i | −1.14879 | + | 0.535689i | −0.901297 | − | 0.433201i | \(-0.857384\pi\) |
−0.247491 | + | 0.968890i | \(0.579606\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.6876 | − | 22.2710i | 0.637613 | − | 0.759878i | −0.346378 | − | 0.938095i | \(-0.612588\pi\) |
0.983991 | + | 0.178217i | \(0.0570329\pi\) | |||||||
\(860\) | −3.03210 | + | 0.611915i | −0.103394 | + | 0.0208661i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −11.8627 | + | 16.9417i | −0.404046 | + | 0.577038i | ||||
\(863\) | −9.57951 | − | 9.57951i | −0.326090 | − | 0.326090i | 0.525007 | − | 0.851098i | \(-0.324063\pi\) |
−0.851098 | + | 0.525007i | \(0.824063\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.86505 | + | 0.885983i | 0.199418 | + | 0.0301243i | ||||
\(866\) | −48.0287 | + | 8.46876i | −1.63208 | + | 0.287780i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.855281 | + | 1.83416i | −0.0290301 | + | 0.0622553i | ||||
\(869\) | 4.41177 | + | 3.70191i | 0.149659 | + | 0.125579i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.312045 | − | 0.113575i | −0.0105733 | − | 0.00384835i | ||||
\(872\) | 1.16451 | + | 0.312030i | 0.0394353 | + | 0.0105667i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.985869 | − | 0.569192i | −0.0333475 | − | 0.0192532i | ||||
\(875\) | 4.40770 | + | 17.3817i | 0.149008 | + | 0.587609i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.1337 | + | 12.6973i | −0.612331 | + | 0.428759i | −0.838172 | − | 0.545405i | \(-0.816376\pi\) |
0.225842 | + | 0.974164i | \(0.427487\pi\) | |||||||
\(878\) | −13.9339 | + | 9.75663i | −0.470247 | + | 0.329270i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 27.0644 | + | 6.54269i | 0.912341 | + | 0.220554i | ||||
\(881\) | −38.5171 | − | 22.2379i | −1.29768 | − | 0.749213i | −0.317673 | − | 0.948200i | \(-0.602902\pi\) |
−0.980002 | + | 0.198987i | \(0.936235\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −15.2412 | − | 4.08387i | −0.512907 | − | 0.137433i | −0.00692327 | − | 0.999976i | \(-0.502204\pi\) |
−0.505984 | + | 0.862543i | \(0.668870\pi\) | |||||||
\(884\) | −0.590280 | − | 0.214844i | −0.0198533 | − | 0.00722599i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 7.81768 | + | 6.55981i | 0.262640 | + | 0.220381i | ||||
\(887\) | 11.6632 | − | 25.0117i | 0.391610 | − | 0.839811i | −0.607359 | − | 0.794427i | \(-0.707771\pi\) |
0.998970 | − | 0.0453839i | \(-0.0144511\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 21.2504 | − | 3.74702i | 0.712715 | − | 0.125671i | ||||
\(890\) | 5.63122 | − | 37.2777i | 0.188759 | − | 1.24955i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.12148 | − | 3.12148i | −0.104515 | − | 0.104515i | ||||
\(893\) | −28.5082 | + | 40.7139i | −0.953990 | + | 1.36244i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.48870 | − | 12.7812i | 0.283746 | − | 0.427230i | ||||
\(896\) | −13.5031 | + | 16.0924i | −0.451108 | + | 0.537609i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −15.6093 | + | 7.27874i | −0.520890 | + | 0.242895i | ||||
\(899\) | −19.6120 | − | 33.9690i | −0.654098 | − | 1.13293i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.48266 | − | 4.30010i | 0.0827095 | − | 0.143257i | ||||
\(902\) | 1.71688 | − | 19.6241i | 0.0571660 | − | 0.653410i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.22439 | + | 0.215893i | 0.0407226 | + | 0.00718049i | ||||
\(905\) | 19.9153 | + | 40.1020i | 0.662007 | + | 1.33303i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.71818 | − | 0.325298i | −0.123460 | − | 0.0108014i | 0.0252582 | − | 0.999681i | \(-0.491959\pi\) |
−0.148718 | + | 0.988880i | \(0.547515\pi\) | |||||||
\(908\) | 6.39013 | − | 1.71223i | 0.212064 | − | 0.0568223i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.55100 | − | 0.608136i | 0.0514152 | − | 0.0201595i | ||||
\(911\) | 8.20345 | − | 22.5388i | 0.271792 | − | 0.746743i | −0.726435 | − | 0.687235i | \(-0.758824\pi\) |
0.998228 | − | 0.0595086i | \(-0.0189534\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −36.4695 | + | 3.19067i | −1.20697 | + | 0.105596i | ||||
\(914\) | 10.5269 | − | 3.83148i | 0.348199 | − | 0.126734i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.12953 | − | 6.40589i | −0.0373207 | − | 0.211656i | ||||
\(917\) | −7.01316 | + | 7.01316i | −0.231595 | + | 0.231595i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 55.8452i | 1.84216i | 0.389370 | + | 0.921081i | \(0.372693\pi\) | ||||
−0.389370 | + | 0.921081i | \(0.627307\pi\) | |||||||
\(920\) | 0.515159 | − | 0.541155i | 0.0169843 | − | 0.0178414i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −57.0495 | − | 26.6026i | −1.87882 | − | 0.876110i | ||||
\(923\) | −0.279807 | − | 3.19821i | −0.00920995 | − | 0.105270i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.6866 | − | 1.46759i | 0.351372 | − | 0.0482540i | ||||
\(926\) | −4.35356 | + | 2.51353i | −0.143067 | + | 0.0825997i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.56716 | + | 13.3128i | 0.117098 | + | 0.437014i | ||||
\(929\) | −43.9037 | + | 36.8395i | −1.44043 | + | 1.20867i | −0.501224 | + | 0.865317i | \(0.667117\pi\) |
−0.939208 | + | 0.343349i | \(0.888439\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.50286 | + | 25.5370i | −0.147575 | + | 0.836942i | ||||
\(932\) | 3.48567 | + | 4.97805i | 0.114177 | + | 0.163062i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.34306 | − | 5.17586i | −0.142109 | − | 0.169359i | ||||
\(935\) | −28.1615 | + | 35.2897i | −0.920981 | + | 1.15410i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −14.6753 | + | 54.7688i | −0.479420 | + | 1.78922i | 0.124551 | + | 0.992213i | \(0.460251\pi\) |
−0.603971 | + | 0.797006i | \(0.706416\pi\) | |||||||
\(938\) | 1.10524 | + | 2.37019i | 0.0360873 | + | 0.0773895i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 3.52646 | + | 3.99861i | 0.115020 | + | 0.130420i | ||||
\(941\) | −13.7044 | − | 37.6526i | −0.446751 | − | 1.22744i | −0.934973 | − | 0.354719i | \(-0.884577\pi\) |
0.488222 | − | 0.872719i | \(-0.337646\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.495050 | − | 0.346638i | −0.0161211 | − | 0.0112881i | ||||
\(944\) | −43.4886 | −1.41543 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 20.6552 | 0.671557 | ||||||||
\(947\) | −38.0843 | − | 26.6669i | −1.23757 | − | 0.866557i | −0.242941 | − | 0.970041i | \(-0.578112\pi\) |
−0.994631 | + | 0.103484i | \(0.967001\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.724290 | − | 1.98997i | −0.0235114 | − | 0.0645972i | ||||
\(950\) | 43.2306 | + | 9.33135i | 1.40258 | + | 0.302749i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −12.7922 | − | 27.4331i | −0.414599 | − | 0.889110i | ||||
\(953\) | −14.9234 | + | 55.6950i | −0.483417 | + | 1.80414i | 0.103668 | + | 0.994612i | \(0.466942\pi\) |
−0.587085 | + | 0.809526i | \(0.699724\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −20.8167 | + | 2.33856i | −0.673614 | + | 0.0756742i | ||||
\(956\) | 2.56752 | + | 3.05985i | 0.0830396 | + | 0.0989627i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −31.8330 | − | 45.4622i | −1.02848 | − | 1.46882i | ||||
\(959\) | −2.05655 | + | 11.6633i | −0.0664095 | + | 0.376627i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.29622 | + | 6.96135i | −0.267620 | + | 0.224560i | ||||
\(962\) | −0.259378 | − | 0.968010i | −0.00836267 | − | 0.0312099i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.02929 | − | 1.17161i | 0.0653589 | − | 0.0377350i | ||||
\(965\) | 22.5524 | − | 41.3809i | 0.725989 | − | 1.33210i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.27121 | + | 25.9600i | 0.0730371 | + | 0.834818i | 0.941048 | + | 0.338273i | \(0.109843\pi\) |
−0.868011 | + | 0.496545i | \(0.834602\pi\) | |||||||
\(968\) | 7.72854 | + | 3.60388i | 0.248405 | + | 0.115833i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 28.9882 | + | 27.5957i | 0.930757 | + | 0.886045i | ||||
\(971\) | − | 24.3222i | − | 0.780536i | −0.920701 | − | 0.390268i | \(-0.872382\pi\) | ||
0.920701 | − | 0.390268i | \(-0.127618\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −11.6294 | + | 11.6294i | −0.372822 | + | 0.372822i | ||||
\(974\) | −3.35887 | − | 19.0491i | −0.107625 | − | 0.610372i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 11.2096 | − | 4.07998i | 0.358812 | − | 0.130597i | ||||
\(977\) | 4.39652 | − | 0.384646i | 0.140657 | − | 0.0123059i | −0.0166097 | − | 0.999862i | \(-0.505287\pi\) |
0.157267 | + | 0.987556i | \(0.449732\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −10.6057 | + | 29.1388i | −0.338958 | + | 0.931280i | ||||
\(980\) | 2.54911 | + | 1.11316i | 0.0814284 | + | 0.0355587i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 33.5090 | − | 8.97872i | 1.06932 | − | 0.286522i | ||||
\(983\) | −6.29396 | − | 0.550651i | −0.200746 | − | 0.0175630i | −0.0136609 | − | 0.999907i | \(-0.504349\pi\) |
−0.187085 | + | 0.982344i | \(0.559904\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.5742 | − | 5.23833i | −0.496235 | − | 0.166907i | ||||
\(986\) | −94.4260 | − | 16.6499i | −3.00714 | − | 0.530240i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.0441099 | − | 0.504179i | 0.00140332 | − | 0.0160401i | ||||
\(989\) | 0.316839 | − | 0.548781i | 0.0100749 | − | 0.0174502i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.28793 | + | 5.69486i | 0.104445 | + | 0.180903i | 0.913511 | − | 0.406814i | \(-0.133360\pi\) |
−0.809067 | + | 0.587717i | \(0.800027\pi\) | |||||||
\(992\) | −6.42327 | + | 2.99522i | −0.203939 | + | 0.0950983i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −16.2520 | + | 19.3683i | −0.515481 | + | 0.614326i | ||||
\(995\) | 48.0602 | + | 31.9193i | 1.52361 | + | 1.01191i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.4987 | − | 16.4219i | 0.364168 | − | 0.520086i | −0.594696 | − | 0.803951i | \(-0.702728\pi\) |
0.958864 | + | 0.283864i | \(0.0916165\pi\) | |||||||
\(998\) | 9.88969 | + | 9.88969i | 0.313053 | + | 0.313053i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 405.2.r.a.152.4 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.122.13 | yes | 192 | ||
5.3 | odd | 4 | inner | 405.2.r.a.233.4 | 192 | ||
15.2 | even | 4 | 675.2.ba.b.68.4 | 192 | |||
15.8 | even | 4 | 135.2.q.a.68.13 | yes | 192 | ||
15.14 | odd | 2 | 675.2.ba.b.257.4 | 192 | |||
27.2 | odd | 18 | inner | 405.2.r.a.332.4 | 192 | ||
27.25 | even | 9 | 135.2.q.a.2.13 | ✓ | 192 | ||
135.52 | odd | 36 | 675.2.ba.b.218.4 | 192 | |||
135.79 | even | 18 | 675.2.ba.b.407.4 | 192 | |||
135.83 | even | 36 | inner | 405.2.r.a.8.4 | 192 | ||
135.133 | odd | 36 | 135.2.q.a.83.13 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.2.13 | ✓ | 192 | 27.25 | even | 9 | ||
135.2.q.a.68.13 | yes | 192 | 15.8 | even | 4 | ||
135.2.q.a.83.13 | yes | 192 | 135.133 | odd | 36 | ||
135.2.q.a.122.13 | yes | 192 | 3.2 | odd | 2 | ||
405.2.r.a.8.4 | 192 | 135.83 | even | 36 | inner | ||
405.2.r.a.152.4 | 192 | 1.1 | even | 1 | trivial | ||
405.2.r.a.233.4 | 192 | 5.3 | odd | 4 | inner | ||
405.2.r.a.332.4 | 192 | 27.2 | odd | 18 | inner | ||
675.2.ba.b.68.4 | 192 | 15.2 | even | 4 | |||
675.2.ba.b.218.4 | 192 | 135.52 | odd | 36 | |||
675.2.ba.b.257.4 | 192 | 15.14 | odd | 2 | |||
675.2.ba.b.407.4 | 192 | 135.79 | even | 18 |